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Finding the Fourth Proportional to 55,255.40, 82,883.10 and 41,431.40

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Solution

The fourth proportional to 55,255.40, 82,883.10 and 41,431.40 is: 62,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,255.40 : 82,883.10 = 41,431.40 : x
  2. Step 2: Convert to fraction form
    55,255.40/82,883.10 = 41,431.40/x
  3. Step 3: Cross multiply
    55,255.40x = 82,883.10 × 41,431.40
  4. Step 4: Simplify right side
    55,255.40x = 3,433,962,869.34
  5. Step 5: Solve for x
    x = 3,433,962,869.34/55,255.40
  6. Step 6: Final answer
    x = 62,147.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.